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Finding the Third Proportional to 25,058 and 38,531

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Solution

The third proportional to 25,058 and 38,531 is: 59,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,058 : 38,531 = 38,531 : x
  2. Step 2: Convert to fraction form
    25,058/38,531 = 38,531/x
  3. Step 3: Cross multiply
    25,058x = 38,531 × 38,531
  4. Step 4: Simplify right side
    25,058x = 1,484,637,961
  5. Step 5: Solve for x
    x = 1,484,637,961/25,058
  6. Step 6: Final answer
    x = 59,248.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.